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Finding the Third Proportional to 124,476 and 268,248

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Solution

The third proportional to 124,476 and 268,248 is: 578,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,476 : 268,248 = 268,248 : x
  2. Step 2: Convert to fraction form
    124,476/268,248 = 268,248/x
  3. Step 3: Cross multiply
    124,476x = 268,248 × 268,248
  4. Step 4: Simplify right side
    124,476x = 71,956,989,504
  5. Step 5: Solve for x
    x = 71,956,989,504/124,476
  6. Step 6: Final answer
    x = 578,079.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.